AND Logic Gate – Importance of bias units (2/3)

(Part 2 of a series on logic gates) Previously, we talked about simple OR gates and now we'll continue that discussion with AND gates, and specifically the role of bias units. We often neglect to consider the role bias plays in our models. We know that we should include bias units, but why? Here, I'll walk through a short example using an AND gate to highlight the importance of the bias unit. Bias units allow us to offset the model in the same way that an intercept allows us to offset a regression line. Imagine a simple AND gate. It…

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OR Logic Gate using Theano (1/3)

(Part 1 of a series on logic gates) Theano is a powerful Python library that provides some useful tools for machine learning, such as GPU training and symbolic differentiation of the cost function during gradient descent. It can be a bit challenging to understand how Theano works, so before jumping into more complex non-linear models, we can get to grips with Theano by implementing something simple like an OR gate. An OR gate receives 2 inputs and will output true if either of the inputs are true. So, there are 3 cases where an OR gate will output a true…

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Multiple Regression using Python

Whenever I do any machine learning I either manually implement models in MATLAB or use Python libraries like scikit-learn where all of the work is done for me. However, I wanted to learn how to manually implement some of these things in Python so I figured I'd document this learning process over a series of posts. Lets start with something simple: ordinary least squares multiple regression The goal of multiple regression is predict the value of some outcome from a series of input variables. Here, I'll be using the Los Angeles Heart Data Setting up the data Lets import some…

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